Regularized Upper Incomplete Gamma Functions

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SUMMARY

The discussion centers on the properties of adding two upper incomplete regularized gamma functions, specifically questioning whether the equation Q(a,z1) - Q(a,z2) can be expressed as Q(a,X) where X is a function of z1 and z2. Participants express skepticism about the feasibility of finding such a function X that is solely dependent on z1 and z2, suggesting that while X can be defined for specific values of z1, z2, and a, it may not align with the intended generality of the problem.

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natski
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Does anyone know of any properties in relation to adding two upper incomplete regularized gamma functions?

i.e. can you write

Q(a,z1) - Q(a,z2) = Q(a,X) ?
where X(z1,z2)

Extra information: a is a positive half-integer.

Natski
 
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If anyone feels that this problem is not solvable then please say so too!
 
natski said:
Does anyone know of any properties in relation to adding two upper incomplete regularized gamma functions?

i.e. can you write

Q(a,z1) - Q(a,z2) = Q(a,X) ?
where X(z1,z2)

Extra information: a is a positive half-integer.

Natski


I feel it will not be possible to find such an X, if it should be a function of z1 and z2 only. Of course for each possible z1,z2,a you can define X as the number to satisfy your equation, but this is probabably not what you want.:smile:
 

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